Martin Boggs opens a new fruit juice shop that specializes in frozen blended juice drinks called "smoothies." His initial cost is $\$ 5075$. Each smoothie costs $\$ 2.00$ to make.
(a) Write a cost function $C$, where $x$ represents the number of smoothies made.
(b) Find the revenue function $R$, if each smoothie in part (a) sells for $\$ 3.75$.
(c) Give the profit function $P$.
(d) How many smoothies must be made and sold before Martin earns a profit?
(e) Support the results of part (d) graphically.

Question

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The Answer of Martin Boggs opens a new fruit juice shop that specializes in frozen blended juice drinks called "smoothies." His initial cost is $\$ 5075$. Each smoothie costs $\$ 2.00$ to make.
(a) Write a cost function $C$, where $x$ represents the number of smoothies made.
(b) Find the revenue function $R$, if each smoothie in part (a) sells for $\$ 3.75$.
(c) Give the profit function $P$.
(d) How many smoothies must be made and sold before Martin earns a profit?
(e) Support the results of part (d) graphically.

Martin Boggs Opens a New Fruit Juice Shop That Specializes $5075\$ 5075$5075

Martin Boggs Opens a New Fruit Juice Shop That Specializes $\$ 5075$